Search a number
-
+
10010100322031 = 312816831146347
BaseRepresentation
bin1001000110101010100001…
…1110010100111011101111
31022102221211002202202220112
42101222220132110323233
52303001141140301111
633142324314010235
72052130421562305
oct221525036247357
938387732682815
1010010100322031
11320a29473a4a7
12115803641697b
13577c4386cc34
142686c4728275
151255bba1ae8b
hex91aa8794eef

10010100322031 has 8 divisors (see below), whose sum is σ = 10333052481024. Its totient is φ = 9687151019160.

The previous prime is 10010100322021. The next prime is 10010100322037. The reversal of 10010100322031 is 13022300101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010100322031 is a prime.

It is a super-2 number, since 2×100101003220312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010100321997 and 10010100322015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010100322037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8159000 + ... + 9305346.

It is an arithmetic number, because the mean of its divisors is an integer number (1291631560128).

Almost surely, 210010100322031 is an apocalyptic number.

10010100322031 is a deficient number, since it is larger than the sum of its proper divisors (322952158993).

10010100322031 is a wasteful number, since it uses less digits than its factorization.

10010100322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428061.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10010100322031 its reverse (13022300101001), we get a palindrome (23032400423032).

The spelling of 10010100322031 in words is "ten trillion, ten billion, one hundred million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 31 281683 1146347 8732173 35536757 322906462001 10010100322031